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Finding the Fourth Proportional to 288,112, 397,598.16 and 167,258.38

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Solution

The fourth proportional to 288,112, 397,598.16 and 167,258.38 is: 230,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,112 : 397,598.16 = 167,258.38 : x
  2. Step 2: Convert to fraction form
    288,112/397,598.16 = 167,258.38/x
  3. Step 3: Cross multiply
    288,112x = 397,598.16 × 167,258.38
  4. Step 4: Simplify right side
    288,112x = 66,501,624,132.58
  5. Step 5: Solve for x
    x = 66,501,624,132.58/288,112
  6. Step 6: Final answer
    x = 230,818.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.